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Finding the Fourth Proportional to 186,347.60, 257,157.12 and 101,464.66

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Solution

The fourth proportional to 186,347.60, 257,157.12 and 101,464.66 is: 140,019.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,347.60 : 257,157.12 = 101,464.66 : x
  2. Step 2: Convert to fraction form
    186,347.60/257,157.12 = 101,464.66/x
  3. Step 3: Cross multiply
    186,347.60x = 257,157.12 × 101,464.66
  4. Step 4: Simplify right side
    186,347.60x = 26,092,359,747.38
  5. Step 5: Solve for x
    x = 26,092,359,747.38/186,347.60
  6. Step 6: Final answer
    x = 140,019.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.